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Simplifying 8x + -4(x + -2) = 8x + 23 + -3x Reorder the terms: 8x + -4(-2 + x) = 8x + 23 + -3x 8x + (-2 * -4 + x * -4) = 8x + 23 + -3x 8x + (8 + -4x) = 8x + 23 + -3x Reorder the terms: 8 + 8x + -4x = 8x + 23 + -3x Combine like terms: 8x + -4x = 4x 8 + 4x = 8x + 23 + -3x Reorder the terms: 8 + 4x = 23 + 8x + -3x Combine like terms: 8x + -3x = 5x 8 + 4x = 23 + 5x Solving 8 + 4x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 4x + -5x = 23 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -1x = 23 + 0 8 + -1x = 23 Add '-8' to each side of the equation. 8 + -8 + -1x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 23 + -8 -1x = 23 + -8 Combine like terms: 23 + -8 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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